A 5-m-long steel shaft of allowable strength supports a torque of T = 325 N.m and its o...

A 5-m-long steel shaft of allowable strength supports a torque of T = 325 N.m and its own weight. Find the required shaft diameter d applying the von Mises theory of failure. Assumptions: Use p=7.86 Mg/m³as the mass per unit volume for steel (see Table D.1).The shaft is supported by frictionless bearings that act as simple supports at its ends.